1261332125 has 16 divisors (see below), whose sum is σ = 1576214640. Its totient is φ = 1007737600.

The previous prime is 1261332073. The next prime is 1261332173. The reversal of 1261332125 is 5212331621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 101384761 + 1159947364 = 10069^2 + 34058^2 .

It is not a de Polignac number, because 1261332125 - 2¹⁸ = 1261069981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1261332094 and 1261332103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94889 + ... + 107361.

It is an arithmetic number, because the mean of its divisors is an integer number (98513415).

Almost surely, 2^1261332125 is an apocalyptic number.

It is an amenable number.

1261332125 is a deficient number, since it is larger than the sum of its proper divisors (314882515).

1261332125 is an equidigital number, since it uses as much as digits as its factorization.

1261332125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13287 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 1261332125 is about 35515.2379268392. The cubic root of 1261332125 is about 1080.4628003384.

Adding to 1261332125 its reverse (5212331621), we get a palindrome (6473663746).

The spelling of 1261332125 in words is "one billion, two hundred sixty-one million, three hundred thirty-two thousand, one hundred twenty-five".